Tractive rolling of dissimilar elastic cylinders
type: Item
instance of: scholarly article
title: Tractive rolling of dissimilar elastic cylinders
zbMATH Open document ID: 0675.73076
DOI: 10.1016/0020-7403(88)90016-1
author: D. Nowell
author: D. A. Hills
published in: International Journal of Mechanical Sciences
publication date: 1988-01-01T00:00:00Z
review text: The rolling contact of two dissimilar elastic cylinders has been studied, and solutions obtained by representing the shear tractions as a series of Chebyshev polynomials. Consistent solutions have been found for the shear traction distribution under a wide range of elastic constants and nett tangential forces. These enable the prevailing stick/slip regime to be deduced and the stick boundaries determined. Comprehensive results for the creep ratio between the rollers and the frictional losses produced by the contact are given. The results are compared with the piece-wise linear solutions of \textit{R. H. Bentall} and \textit{K. L. Johnson} [ibid. 9, 389-404 (1967)], and \textit{J. J. Kalker} [J. Appl. Mech. 38, 875-880, 881- 887 (1971; Zbl 0233.73135)]. Good agreement is found in all cases.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
zbMATH DE Number: 4106419
zbMATH Keywords: shear tractions
zbMATH Keywords: series of Chebyshev polynomials
MaRDI profile type: Publication
full work available at URL: 0020-7403(88)90016-1
OpenAlex ID: W2022970033
description: scientific article; zbMATH DE number 4106419